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Physics Asked by a SnapAndSolve user · about 2 hours ago

A Soccer Ball is Kicked A soccer ball initially moves at 2 m/s. After being kicked, its velocity increases...

4. A Soccer Ball is Kicked
A soccer ball initially moves at 2 m/s. After being kicked, its velocity increases to 14 m/s in 3 seconds. What is the ball's acceleration?
Answer:
5. A Motorcycle Accelerates
A motorcycle is traveling at 8 m/s. The rider accelerates, and the motorcycle reaches 28 m/s after 5 seconds. Calculate its acceleration.
Answer:
6. A Bus Slows Down
A bus is moving at 24 m/s. The driver applies the brakes, and the bus slows to 12 m/s in 6 seconds. What is the bus's acceleration?
Hint: When an object slows down, its acceleration is negative if it continues moving in the same direction.
Answer:
7. A Skateboarder Slows Down
A skateboarder is moving at 10 m/s. After applying the brakes, the skateboarder's velocity decreases to 3 m/s in 5 seconds. What is the skateboarder's acceleration?
Answer:
8. An Airplane Takes Off
An airplane begins its takeoff roll from rest and reaches a velocity of 80 m/s in 12 seconds. What is the airplane's average acceleration during this time?
Answer:

Answer

4. A Soccer Ball is Kicked

To find the acceleration, we use the formula:

a = (final velocity - initial velocity) / time

Initial velocity (u) = 2 m/s

Final velocity (v) = 14 m/s

Time (t) = 3 s

Plugging in the values:

a = (14 m/s - 2 m/s) / 3 s

a = 12 m/s / 3 s

a = 4 m/s²

5. A Motorcycle Accelerates

To calculate acceleration, we again use the formula:

a = (final velocity - initial velocity) / time

Initial velocity (u) = 8 m/s

Final velocity (v) = 28 m/s

Time (t) = 5 s

Substituting the values:

a = (28 m/s - 8 m/s) / 5 s

a = 20 m/s / 5 s

a = 4 m/s²

6. A Bus Slows Down

For a slowing object, the calculation remains the same but results in negative acceleration:

a = (final velocity - initial velocity) / time

Initial velocity (u) = 24 m/s

Final velocity (v) = 12 m/s

Time (t) = 6 s

Substituting the values:

a = (12 m/s - 24 m/s) / 6 s

a = -12 m/s / 6 s

a = -2 m/s²

7. A Skateboarder Slows Down

Using the same acceleration formula:

a = (final velocity - initial velocity) / time

Initial velocity (u) = 10 m/s

Final velocity (v) = 3 m/s

Time (t) = 5 s

Substituting the values:

a = (3 m/s - 10 m/s) / 5 s

a = -7 m/s / 5 s

a = -1.4 m/s²

8. An Airplane Takes Off

For the airplane's acceleration:

a = (final velocity - initial velocity) / time

Initial velocity (u) = 0 m/s (at rest)

Final velocity (v) = 80 m/s

Time (t) = 12 s

Substituting the values:

a = (80 m/s - 0 m/s) / 12 s

a = 80 m/s / 12 s

a = 6.67 m/s²

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